Synopses & Reviews
In a world plagued by disagreement and conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible, systems. Do these disagreements admit of resolution? Can such resolution be achieved without disturbing assumptions that the theorems of logic and mathematics state objective truths about the real world? In this original and historically rich book John Woods explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade or disarm these stalemates. An important sub-theme of the book is the extent to which pluralism in logic and the philosophy of mathematics undermines realist assumptions. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.
Synopsis
Includes bibliographical references (p. 341-358) and index.
Synopsis
In a world plagued by conflict, one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact, these disciplines are rife with internal divisions between different, often incompatible systems. This original work explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. The book is a significant contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It is also of interest to mathematicians and computer scientists.
Synopsis
This book sets out conflict resolution strategies to bridge disagreements between logic and mathematics.
Table of Contents
1. Conflict in the abstract sciences; 2. Modalities; 3. Managing inconsistency; 4. Semantic intuitions; 5. Sets and truths; 6. Fiction; 7. Currying liars; 8. Normativity.